A Scale-Dependent Distance Functional between Past Light Cones in Cosmology
We discuss a rigorous procedure for quantifying the difference between our past light cone and the past light cone of the fiducial Friedmann–Lemaitre–Robertson–Walker spacetime, modeling the large-scale descriptions of cosmological data in the standard <inline-formula><math xmlns="http...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-12-01
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| Series: | Universe |
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| Online Access: | https://www.mdpi.com/2218-1997/9/1/25 |
| _version_ | 1797436650015424512 |
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| author | Mauro Carfora Francesca Familiari |
| author_facet | Mauro Carfora Francesca Familiari |
| author_sort | Mauro Carfora |
| collection | DOAJ |
| description | We discuss a rigorous procedure for quantifying the difference between our past light cone and the past light cone of the fiducial Friedmann–Lemaitre–Robertson–Walker spacetime, modeling the large-scale descriptions of cosmological data in the standard <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>Λ</mo><mi>CDM</mi></mrow></semantics></math></inline-formula> scenario. This result is made possible by exploiting the scale-dependent distance functional between past light cones recently introduced by us. We express this harmonic map-type functional in terms of the physical quantities that characterize the actual measurements along our past light cone, namely the area distance and the lensing distortion, also addressing the very delicate problem of the presence of light cone caustics. This analysis works beautifully and seems to remove several of the difficulties encountered in comparing the actual geometry of our past light cone with the geometry of the fiducial FLRW light cone of choice. We also discuss how, from the point of view of the FLRW geometry, this distance functional may be interpreted as a scale-dependent effective field, the pre-homogeneity field, which may be of relevance in selecting the FLRW model that best fits the observational data. |
| first_indexed | 2024-03-09T11:05:40Z |
| format | Article |
| id | doaj.art-f26308d100554116b1d024574cca954b |
| institution | Directory Open Access Journal |
| issn | 2218-1997 |
| language | English |
| last_indexed | 2024-03-09T11:05:40Z |
| publishDate | 2022-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Universe |
| spelling | doaj.art-f26308d100554116b1d024574cca954b2023-12-01T00:59:04ZengMDPI AGUniverse2218-19972022-12-01912510.3390/universe9010025A Scale-Dependent Distance Functional between Past Light Cones in CosmologyMauro Carfora0Francesca Familiari1Department of Physics, University of Pavia, Via Bassi 6, 27100 Pavia, ItalyDepartment of Physics, University of Pavia, Via Bassi 6, 27100 Pavia, ItalyWe discuss a rigorous procedure for quantifying the difference between our past light cone and the past light cone of the fiducial Friedmann–Lemaitre–Robertson–Walker spacetime, modeling the large-scale descriptions of cosmological data in the standard <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>Λ</mo><mi>CDM</mi></mrow></semantics></math></inline-formula> scenario. This result is made possible by exploiting the scale-dependent distance functional between past light cones recently introduced by us. We express this harmonic map-type functional in terms of the physical quantities that characterize the actual measurements along our past light cone, namely the area distance and the lensing distortion, also addressing the very delicate problem of the presence of light cone caustics. This analysis works beautifully and seems to remove several of the difficulties encountered in comparing the actual geometry of our past light cone with the geometry of the fiducial FLRW light cone of choice. We also discuss how, from the point of view of the FLRW geometry, this distance functional may be interpreted as a scale-dependent effective field, the pre-homogeneity field, which may be of relevance in selecting the FLRW model that best fits the observational data.https://www.mdpi.com/2218-1997/9/1/25cosmological averagingcosmographylightcone geometry |
| spellingShingle | Mauro Carfora Francesca Familiari A Scale-Dependent Distance Functional between Past Light Cones in Cosmology Universe cosmological averaging cosmography lightcone geometry |
| title | A Scale-Dependent Distance Functional between Past Light Cones in Cosmology |
| title_full | A Scale-Dependent Distance Functional between Past Light Cones in Cosmology |
| title_fullStr | A Scale-Dependent Distance Functional between Past Light Cones in Cosmology |
| title_full_unstemmed | A Scale-Dependent Distance Functional between Past Light Cones in Cosmology |
| title_short | A Scale-Dependent Distance Functional between Past Light Cones in Cosmology |
| title_sort | scale dependent distance functional between past light cones in cosmology |
| topic | cosmological averaging cosmography lightcone geometry |
| url | https://www.mdpi.com/2218-1997/9/1/25 |
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